Phys. Rev. D 26, 352–367 (1982)First-order tetrad gravity in Dirac's Hamiltonian formalismReceived 21 April 1981; revised 21 August 1981; published in the issue dated 15 July 1982 The Hamiltonian ∫d3x(pq̇-L) is constructed without adding further terms. The velocities ėia and ω̇iab are eliminated while ė0a and ω̇0ab remain arbitrary. The second-class constraints reduce the theory to second-order tetrad gravity. The first-class constraints differ from those in second-order formalism, but satisfy the same gauge algebra provided one uses Dirac brackets. © 1982 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.26.352
DOI:
10.1103/PhysRevD.26.352
PACS:
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